[Imprint][Data Privacy Statement][E-Mail]

View long theorem info. View the proof. Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

Proof step 28 from proof eq-io-readpage (previous step)

⟨fail#(; ; err)⟩ (err = err1), # buf0 = VFS_PAGE_SIZE, files1[m] = mkfile(m3, md0, m4, content), m ∈ files1 ⊦ ⟨if pageno0 ∈ content then buf := content[pageno0] else buf := zeropage; err := ESUCCESS⟩ (buf = buf0 ∧ err = err1), ∃ err0. ⌊err0⌋ ∧ ⟨err := err0⟩ (err = err1)

Heuristic conditional right split applied rule if right

And obtained the following new goals

Proof step 29:
⟨fail#(; ; err)⟩ (err = err1), # buf0 = VFS_PAGE_SIZE, files1[m] = mkfile(m3, md0, m4, content), pageno0 ∈ content, m ∈ files1 ⊦ ⟨buf := content[pageno0]; err := ESUCCESS⟩ (buf = buf0 ∧ err = err1), ∃ err0. ⌊err0⌋ ∧ ⟨err := err0⟩ (err = err1)
Proof step 38:
⟨fail#(; ; err)⟩ (err = err1), # buf0 = VFS_PAGE_SIZE, files1[m] = mkfile(m3, md0, m4, content), m ∈ files1 ⊦ ⟨buf := zeropage; err := ESUCCESS⟩ (buf = buf0 ∧ err = err1), ∃ err0. ⌊err0⌋ ∧ ⟨err := err0⟩ (err = err1), pageno0 ∈ content

Rule argument

pos: right 1

Proof step 28 from proof eq-io-readpage (previous step)

Heuristic conditional right split applied rule if right

And obtained the following new goals

Rule argument

Additional information